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Finding the Third Proportional to 3,344.63 and 6,266.53

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Solution

The third proportional to 3,344.63 and 6,266.53 is: 11,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.63 : 6,266.53 = 6,266.53 : x
  2. Step 2: Convert to fraction form
    3,344.63/6,266.53 = 6,266.53/x
  3. Step 3: Cross multiply
    3,344.63x = 6,266.53 × 6,266.53
  4. Step 4: Simplify right side
    3,344.63x = 39,269,413.91
  5. Step 5: Solve for x
    x = 39,269,413.91/3,344.63
  6. Step 6: Final answer
    x = 11,741.05

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.